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A140676 a(n) = n*(3*n + 4). 12
0, 7, 20, 39, 64, 95, 132, 175, 224, 279, 340, 407, 480, 559, 644, 735, 832, 935, 1044, 1159, 1280, 1407, 1540, 1679, 1824, 1975, 2132, 2295, 2464, 2639, 2820, 3007, 3200, 3399, 3604, 3815, 4032, 4255, 4484, 4719, 4960, 5207, 5460 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The number of peers of a cell of a n^2 X n^2 sudoku is a(n-1). - Neven Sajko, Apr 20 2016

First differences are in A016921. - Wesley Ivan Hurt, Apr 21 2016

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

Index entries for linear recurrences with constant coefficients, signature (3, -3, 1).

FORMULA

a(n) = 3*n^2 + 4*n.

a(n) = 6*n + a(n-1) + 1 for n>0, a(0)=0. - Vincenzo Librandi, Aug 03 2010

O.g.f.: x*(7 - x)/(1 - x)^3. - Arkadiusz Wesolowski, Dec 24 2011

a(0)=0, a(1)=7, a(2)=20; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 04 2013

E.g.f.: x*(7 + 3*x)*exp(x). - Ilya Gutkovskiy, Apr 20 2016

a(n) = A000567(n+1) - 1. - Neven Sajko, Apr 20 2016

MAPLE

A140676:=n->n*(3*n+4): seq(A140676(n), n=0..100); # Wesley Ivan Hurt, Apr 21 2016

MATHEMATICA

Table[n (3 n + 4), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 7, 20}, 50] (* Harvey P. Dale, May 04 2013 *)

PROG

(PARI) a(n)=n*(3*n+4) \\ Charles R Greathouse IV, Oct 07 2015

(MAGMA) [n*(3*n+4) : n in [0..80]]; // Wesley Ivan Hurt, Apr 21 2016

CROSSREFS

Cf. A000567, A016921, A033428, A045944, A067707, A067725, A140677, A140678, A140679, A140680, A140681, A140689.

Sequence in context: A063151 A297882 A228882 * A025056 A038349 A100752

Adjacent sequences:  A140673 A140674 A140675 * A140677 A140678 A140679

KEYWORD

nonn,easy

AUTHOR

Omar E. Pol, May 22 2008

STATUS

approved

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Last modified October 19 06:03 EDT 2018. Contains 316336 sequences. (Running on oeis4.)